516950016 has 96 divisors (see below), whose sum is σ = 1503684000. Its totient is φ = 156631040.

The previous prime is 516949981. The next prime is 516950023. The reversal of 516950016 is 610059615.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63760 + ... + 71408.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 2^516950016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751842000).

516950016 is an abundant number, since it is smaller than the sum of its proper divisors (986733984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516950016 is a wasteful number, since it uses less digits than its factorization.

516950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7685 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 516950016 is about 22736.5348283330. The cubic root of 516950016 is about 802.5698692091.

The spelling of 516950016 in words is "five hundred sixteen million, nine hundred fifty thousand, sixteen".